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Finding the Third Proportional to 8,460,690 and 18,543,338

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Solution

The third proportional to 8,460,690 and 18,543,338 is: 40,641,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460,690 : 18,543,338 = 18,543,338 : x
  2. Step 2: Convert to fraction form
    8,460,690/18,543,338 = 18,543,338/x
  3. Step 3: Cross multiply
    8,460,690x = 18,543,338 × 18,543,338
  4. Step 4: Simplify right side
    8,460,690x = 343,855,384,182,244
  5. Step 5: Solve for x
    x = 343,855,384,182,244/8,460,690
  6. Step 6: Final answer
    x = 40,641,529.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.